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                [HEOI2012]Akai的数学作业                </h1>
                <p>时间限制：10s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：128MB</p>			</div>
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                                <h3>题目描述</h3><p><div>
<div style="margin: 9.25pt -1.5pt 0pt 18pt; line-height: 15.75pt" align="left"></div>
<div style="margin: 0cm 332.45pt 0pt 39pt; line-height: 16pt"><span style="font-size: medium"><span style="color: black">这里是广袤无垠的宇宙</span><span style="color: black">这里是一泻千里的银河</span></span></div>
<div style="margin: 0cm -1.5pt 0pt 39pt; line-height: 14.5pt" align="left"><span style="font-size: medium"><span style="color: black">这里是独一无二的太阳系</span></span></div>
<div style="margin: 0cm -1.5pt 0pt 39pt; line-height: 14.5pt" align="left"><span style="font-size: medium"><span style="color: black">这里是蔚蓝色的地球</span></span></div>
<div style="margin: 0cm -1.5pt 0pt 39pt; line-height: 14.5pt" align="left"><span style="font-size: medium"><span style="color: black">这里，就是这里，是富饶的中国大陆！</span></span></div>
<div style="margin: 0cm -1.5pt 0pt 39pt; line-height: 14.5pt" align="left"><span style="font-size: medium"><span style="color: black">这里是神奇的河北大地</span></span></div>
<div style="margin: 0cm -1.5pt 0pt 39pt; line-height: 14.5pt" align="left"><span style="font-size: medium"><span style="color: black">这里是美丽的唐山</span></span></div>
<div style="margin: 0cm -1.5pt 0pt 39pt; line-height: 14.5pt" align="left"><span style="font-size: medium"><span style="color: black">这里是神话般的唐山一中</span></span></div>
<div style="margin: 0cm -1.5pt 0pt 39pt; line-height: 14.5pt" align="left"><span style="font-size: medium"><span style="color: black">这里是</span><span style="color: black">Akai</span><span style="color: black">曾经的教室</span></span></div>
<div style="margin: 0cm -1.5pt 0pt 39pt; line-height: 14.5pt" align="left"><span style="font-size: medium"><span style="color: black">黑板上还留有当年</span><span style="color: black">Akai</span><span style="color: black">做过的数学作业，其实也并不是什么很困难的题目</span><span style="color: black">: </span></span></div>
<div style="margin: 0cm -1.5pt 0pt 39pt; line-height: 14.5pt" align="left"><span style="font-size: medium"><span style="color: black">&ldquo;</span></span></div>
<div style="margin: 0cm -1.5pt 0pt 60pt; line-height: 14.5pt" align="left"><span style="font-size: medium"><span style="color: black">给出一个一元</span><span style="color: black">n</span><span style="color: black">次方程：</span></span></div>
<div style="margin: 0cm -1.5pt 0pt 81pt; line-height: 14.5pt; text-align: left" align="left"><span style="font-size: medium"><span style="color: black">a</span><span style="color: black">0</span><span style="color: black"> + a</span><span style="color: black">1</span><span style="color: black">x + a</span><span style="color: black">&nbsp;&nbsp;&nbsp; 2</span><span style="color: black">&nbsp;&nbsp; x2 +</span><span style="color: black">&hellip;</span><span style="color: black">+ a</span><span style="color: black">n</span><span style="color: black">xn= 0 </span></span></div>
<div style="margin: 0cm -1.5pt 0pt 60pt; line-height: 14.5pt" align="left"><span style="font-size: medium"><span style="color: black">求此方程的所有有理数解。</span></span></div>
</div>
<p><span style="font-size: medium"><br clear="all" />
</span></p>
<div style="margin: 0cm 228.8pt 0pt 39pt; line-height: 15pt"><span style="font-size: medium">&nbsp;<span style="color: black">&rdquo;</span><span style="color: black"> Akai</span><span style="color: black">至今还深刻记得当年熬夜奋战求解的时光</span></span></div>
<div style="margin: 0cm -1.5pt 0pt 39pt; line-height: 14.5pt" align="left"><span style="font-size: medium"><span style="color: black">他甚至还能记得浪费了多少草稿纸</span></span></div>
<div style="margin: 0cm -1.5pt 0pt 39pt; line-height: 14.5pt" align="left"><span style="font-size: medium"><span style="color: black">但是却怎么也想不起来最后的答案是多少了</span></span></div>
<div style="margin: 0cm -1.5pt 0pt 39pt; line-height: 14.5pt" align="left"><span style="font-size: medium"><span style="color: black">你能帮助他么？</span></span></div></p><hr/><h3>输入格式</h3><p><div style="margin: 0cm -1.5pt 0pt 39pt; line-height: 14.5pt; text-align: left" align="left"><span style="font-size: medium"><span style="color: black">第一行一个整数</span><span style="color: black">n</span><span style="color: black">。第二行</span><span style="color: black">n+1</span><span style="color: black">个整数，分别代表</span><span style="color: black">a</span><span style="color: black">&nbsp;&nbsp;&nbsp; 0</span><span style="color: black; letter-spacing: 0.25pt">&nbsp;</span><span style="color: black; letter-spacing: 0.25pt">到</span><span style="color: black; letter-spacing: 0.25pt">a</span><span style="color: black"> n</span></span></div></p><hr/><h3>输出格式</h3><p><div style="margin: 0cm -1.5pt 0pt 39pt; line-height: 14.5pt" align="left"><span style="font-size: medium"><span style="color: black">第一行输出一个整数</span><span style="color: black">t</span><span style="color: black">，表示有理数解的个数</span></span></div>
<div style="margin: 0cm -1.5pt 0pt 39pt; line-height: 14.5pt" align="left"><span style="font-size: medium"><span style="color: black">接下来</span><span style="color: black">t</span><span style="color: black">行，每行表示一个解</span></span></div>
<div style="margin: 0cm 136.95pt 0pt 39pt; line-height: 15pt"><span style="font-size: medium"><span style="color: black">解以分数的形式输出，要求分子和分母互质，且分母必须是正整数</span><span style="color: black">特殊的，如果这个解是一个整数，那么直接把这个数输出</span></span></div>
<div style="margin: 0cm -1.5pt 0pt 39pt; line-height: 14.5pt" align="left"><span style="font-size: medium"><span style="color: black">等价的解只需要输出一次</span></span></div>
<div style="margin: 0cm -1.5pt 0pt 39pt; line-height: 14.5pt" align="left"><span style="font-size: medium"><span style="color: black">所有解按照从小到大的顺序输出</span></span></div></p><hr/><h3>样例输入</h3><pre>3 
-24 14 29 6 
</pre><hr/><h3>样例输出</h3><pre>3 
-4 
-3/2 
2/3 
</pre><hr/><h3>提示</h3><p><p>【数据范围】<br />
对于30%的数据，n&lt;=10 <br />
对于100%的数据，n &lt;= 100，|a i| &lt;= 2*10^7，an&ne; 0</p></p><hr/><h3>题目来源</h3><p>没有写明来源</p>
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